What is the Least Common Multiple of 47600 and 47610?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 47600 and 47610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47600 and 47610, than apply into the LCM equation.

GCF(47600,47610) = 10
LCM(47600,47610) = ( 47600 × 47610) / 10
LCM(47600,47610) = 2266236000 / 10
LCM(47600,47610) = 226623600

Least Common Multiple (LCM) of 47600 and 47610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47600 and 47610. First we will calculate the prime factors of 47600 and 47610.

Prime Factorization of 47600

Prime Factorization of 47610

Now multiplying the highest exponent prime factors to calculate the LCM of 47600 and 47610.

LCM(47600,47610) = 2⁴ × 5² × 7¹ × 17¹ × 3² × 23²
LCM(47600,47610) = 226623600